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Finding the Third Proportional to 50,665 and 77,989.50

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Solution

The third proportional to 50,665 and 77,989.50 is: 120,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,665 : 77,989.50 = 77,989.50 : x
  2. Step 2: Convert to fraction form
    50,665/77,989.50 = 77,989.50/x
  3. Step 3: Cross multiply
    50,665x = 77,989.50 × 77,989.50
  4. Step 4: Simplify right side
    50,665x = 6,082,362,110.25
  5. Step 5: Solve for x
    x = 6,082,362,110.25/50,665
  6. Step 6: Final answer
    x = 120,050.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.